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Finding the Third Proportional to 6,543 and 14,133

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Solution

The third proportional to 6,543 and 14,133 is: 30,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543 : 14,133 = 14,133 : x
  2. Step 2: Convert to fraction form
    6,543/14,133 = 14,133/x
  3. Step 3: Cross multiply
    6,543x = 14,133 × 14,133
  4. Step 4: Simplify right side
    6,543x = 199,741,689
  5. Step 5: Solve for x
    x = 199,741,689/6,543
  6. Step 6: Final answer
    x = 30,527.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.